Download Functions Algebra 1 Coordinate plane

Functions
Term
Book Definition
Coordinate plane
(coordinate system)
(Cartesian Plane)
(Cartesian Coordinate
System)
(x-y coordinate plane)
A plane that is divided into four regions
by a horizontal and a vertical number
line. The addresses, or coordinates, of
points in the plane are given by ordered
pairs.
Horizontal
http://dictionary.reference.com/brows
e/horizontal
Vertical
http://dictionary.reference.com/brows
e/vertical
Number line
A straight line on which there is
indicated a one-to-one correspondence
between points on the line and the set
of real numbers.
Algebra 1
My Definition
Functions
Quadrants
The four regions into which the x- and
y- axes separate the coordinate plane
Coordinates
An ordered pair of numbers that locates
a point in the coordinate plane in
relation to the x- and y- axes.
Ordered pair
The x- and y- coordinates that give the
location of a point in a coordinate
plane, indicated by two numbers in
parentheses
Algebra 1
Functions
Algebra 1
Functions
Web sites for additional explanation, general information, and/or practice.
http://score.kings.k12.ca.us/lessons/graphing/graphing.quiz.html
http://www.shodor.org/interactivate/activities/GeneralCoordinates/
http://www.shodor.org/interactivate/discussions/IntroductionToTheCoo/
http://www.shodor.org/interactivate/activities/MazeGame/
Algebra 1
Functions
Term
Book Definition
Function
A rule that establishes a relationship
between two quantities, called the
input and the output
A set of ordered pairs.
Relation
A relation is a function if for every input
there is exactly one output.
A value in the domain of a function.
Input
For each input, there is exactly one
output – even though two different
inputs may give the same output.
A value in the range of a function.
Output
Domain
The set of the first numbers of the
ordered pairs in a relation.
The collection of all input values
of a function.
Algebra 1
My Definition
Functions
Range
The collection of all output values
of a function.
Vertical Line Test
A graph is a function if no vertical line
intersects the graph at more than one
point.
Examples:
Decide whether the relation is a function.
y
y
x
y
x
y
x
Algebra 1
x
Functions
Decide whether the relation is a function. If it is a function, give the domain and the range.
a.
Input
Output
1
2
2
3
b.
4
4
5
Input
Output
1
5
2
7
3
c.
4
9
Input
Output
10
100
20
200
30
300
40
400
50
500
Algebra 1
Name _________________________________
October 20, 2008
Algebra 1:
Functions
Decide whether the relation is a function. If it is a function, give the domain and the range.
1.
2.
Input
Output
1
5
2
4
3
3
4
2
Input
Output
1
2
3
0
4
3.
Input
Output
7
7
9
9
8
10
10
4.
Input
Output
0
2
1
4
2
6
3
8
Input
Output
0
1
2
2
4
3
6
4
5.
6.
Input
Output
1
1
3
2
5
3
7
1
y
7.
25
15
5
1
3
5
x
Decide whether the graph represents a function. Explain your reasoning.
8.
9.
10.
11.
Blue line
Red line